Question

Which expression is equivalent to 6^-3? 6^3 3^6 3sqrt6 (1/6)^3

Answer 1

For this case we must find an expression equivalent to$6 ^ {- 3}$

By definition of power properties we have to:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

So, we can rewrite the given expression as:

$6 ^ {3} = \frac {1} {6 ^ 3}$

This is equivalent to:

$(\frac {1} {6}) ^ 3$

Answer:

Option D

Answer 2

Answer:

The correct answer option is D. ( 1 / 6 ) ^ 3.

Step-by-step explanation:

We are given the following expression and we are to determine whether which of the given answer options is equivalent to this:

$6 ^ { - 3 }$

Rewriting this as a fraction to get:

$\frac { 1 } { 6 ^ 3 }$

Therefore, the correct answer option is D. ( 1 / 6 ) ^ 3.